Definition of Quasibarrelled. Meaning of Quasibarrelled. Synonyms of Quasibarrelled

- Hausdorff bornological space is quasibarrelled. Thus, every metrizable TVS is quasibarrelled. Note that there exist quasibarrelled spaces that are neither barrelled...
- space is again equicontinuous. This property is a generalization of quasibarrelled spaces. A TVS X with continuous dual space X ′ {\displaystyle X^{\prime...
- X_{\sigma }} is weakly compact). X {\displaystyle X} is semireflexive and quasibarrelled. If X {\displaystyle X} is a normed space then the following are equivalent:...
- quasi-barrelled space that is also a σ-barrelled space. A sequentially complete quasibarrelled space. A quasi-complete Hausdorff locally convex infrabarrelled space...
- }} is equicontinuous. Every countably barrelled space is a countably quasibarrelled space, a σ-barrelled space, a σ-quasi-barrelled space, and a sequentially...
- City. ——— (1967). "Some remarks on countably barrelled and countably quasibarrelled spaces". Proceedings of the Edinburgh Mathematical Society. 15 (4)....
- metrizable TVS are homeomorphic. Every metrizable locally convex TVS is a quasibarrelled space, bornological space, and a Mackey space. Every complete pseudometrizable...
- {\displaystyle X_{\sigma }} is weakly compact). X is semireflexive and quasibarrelled. If X is a normed space then the following are equivalent: X is reflexive;...
- {\displaystyle X} is distinguished if and only if X {\displaystyle X} is quasibarrelled. Every locally convex distinguished space is an H-space. There exist...